2016年3月
Isogonal deformation of discrete plane curves and discrete Burgers hierarchy
Pacific Journal of Mathematics for Industry
- ,
- ,
- 巻
- 8
- 号
- 1
- 開始ページ
- 1
- 終了ページ
- 14
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1186/s40736-016-0022-z
- 出版者・発行元
- Institute of Mathematics for Industry, Kyushu University ; c2014-
We study deformations of plane curves in the similarity geometry. It is known that continuous deformations of smooth curves are described by the Burgers hierarchy. In this paper, we formulate the discrete deformation of discrete plane curves described by the discrete Burgers hierarchy as isogonal deformations. We also construct explicit formulas for the curve deformations by using the solution of linear diffusion differential/difference equations.
- リンク情報
- ID情報
-
- DOI : 10.1186/s40736-016-0022-z
- ISSN : 2188-6369
- CiNii Articles ID : 40021103648
- CiNii Books ID : AA12704753